The context of the study is the ElectroMagnetic Compatibility (EMC). Principal aim of the EMC is to ensure the compatibility between an electromagnetic perturbance source and an electronic device victim. Unfortunately, the perturbation levels prediction can not be made using an analytic formula, because the geometry which is generally complex for the interesting system, for example the field inside an aircraft’s cockpit. Therefore, we are contrained to use numerical methods, to be able to evaluate this coupling level between sources and victims. Among several existing numerical methods, Multi-Domains (MD) methods are very interesting. They offer to users the freedom to choose the most powerfull numerical method, in terms of the geometrical zone evaluated. With the MD methods, « Domain Decomposition Method » (DDM) has the avantage of decouplingeach of theses areas. Therefore, DDM is very interesting, compared to other methods, in particular on the numerical cost. ONERA keeps on developing this method, which has not stop showing his efficiency since several years, in particular in Radar Cross Section (RCS) and antennas. The objective of this study is to take the benefits of this method for EMC problems. Up to now, several EMC applications treated by the DDM code provided results strongly noisy. Even for with very simple electromagnetic cases, some problems remained without convincing explanations. This justifies this study. The aim of this thesis is to can be able to apply DDM formalism to EMC problems. Then, we have been induced to redefine a number of conventions which are involved in the DDM. Otherwise, we have developed a specific model for the apertures which are privilegied tracts of the coupling by the penetration of waves inside cavities (shieldings). As the apertures have in practice smaller dimensions compared to the wavelength, we have been interested to a quasistatic model which was developped, implemented and validated. Following this model, we have developed an original method, based on a two step calculation, able to do not discretize the apertures support in 3D computations.
